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Introduction to Digital Electronics

1 Introduction to Digital Electronics by Agner Fog, 2019-10-30. Contents 1. Number systems .. 3 Decimal, binary, and hexadecimal numbers .. 3 Conversion from another number system to decimal .. 4 Conversion from decimal to another number system .. 5 Addition of binary numbers .. 6 Signed binary numbers .. 7 Binary coded decimal numbers .. 9 Exercises .. 10 2. Boolean algebra .. 12 Laws and rules .. 13 Truth tables .. 14 Reducing a Boolean expression .. 15 Exercises .. 16 3. Digital circuits.

3 1. Number systems 1.1. Decimal, binary, and hexadecimal numbers We all know the decimal number system. For example, 2019 means 2*1000 + 0*100 + 1*10 + 9*1.

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